Most of what you say may be true, with one exception: "Tiny
  minority": [1]http://en.wikipedia.org/wiki/Confirmation_bias is
  precisely the problem. Why is there a stereotype of "White girls
  in their 20s who talk about the Universe providing guidance?"*
  Simple: *BECAUSE THERE ARE lots of 'white girls in their 20s who
  talk about the Universe providing guidance":* The stereotype
  didn't come from nothing. The trend I've noticed since Sagan's
  day has been a strong shift into polarizing within the politics
  of Science. There is a lot of the same people patting each other
  on the back on how much better they are than the "them". But
  'the 'them'" isn't the minority.* Rather than reaching out to
  the general public, which INCLUDES 'the them', Science educators
  have, in greater and greater amounts, "preach to the already
  converted" and they feel their numbers are massive due to
  consistency of opinion amongst members. But the Westboro Baptist
  Church appears huge and it's just a few people, and THEY'RE
  downright delusional.* Yet people who argue against them don't
  see the smallness of their number but instead see the bigness of
  the impression they leave. Confirmation bias.* None, even Bill
  Nye, is immune from it, nor am I.* Maybe you've escaped its
  clutches, in which case, please write a book and teach a few
  people.

References

  Visible links
  1. http://en.wikipedia.org/wiki/Confirmation_bias